Interesting read. I've had my own opiniion on the matter, and good to see other's thoughts as well. Thanks for that quote, evsalty.
Let's see if I can put it all together.
Dry skim or wet skim, they pull out the same amount of unwanted stuff over time. One is just more dilute, the other more concentrate.
Wet skim pulls out more saltwater. A good idea if you want to do a slow, almost continuous water change by replacing the lost volume with fresh saltwater. Also easier to clean. Have to make sure you don't end up raising SG, though, since you would also end up replacing evaporation with saltwater. Unless you have a two part ATO or something.
Dry skim has less saltwater, and you can maintain sump water levels with RODI water since you lose most of the water with evaporation. This time have to make sure your SG doesn't drop, since you are also replacing the skim water with RODI water. Again, unless you have a 2 part ATO or something

. I do my skim REALLY dry, like day old coffee, and cleaning is not a problem as the thick junk just dissolves in running water, so I won't list cleaning as a problem.
Not sure about consistency, as someone has mentioned it makes a difference. It doesn't with me. I set the knob, and the skimmer consistently makes wet or dry skim however I set it. It maybe dependent on set-up or skimmer brand.
Does that about sum it up?